Re: Finding coefficients in linear combination

["Swati, NoFirstName" <S10@email.sc.edu>]

Hello,

Actually, I applied mfhecke to get the Fourier expansion of action of T_{17} on \Delta^{129} and then applied modulo 3 to the coefficients.

Thanks,

Swati 

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From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Sent: Wednesday, March 13, 2024 3:44:53 PM
To: pari-users@pari.math.u-bordeaux.fr <pari-users@pari.math.u-bordeaux.fr>
Subject: Re: Finding coefficients in linear combination

 

On Wed, Mar 13, 2024 at 03:37:32PM +0000, Swati, NoFirstName wrote:
> Hello all,
> I am trying to look for an efficient way to compute the coefficients a_{i} in the linear combination of  the form
> \Delta^{129} \mid T_{17} \equiv \sum{j = 1}^{i} a_{i} \Delta^{i} \pmod{3}
> using pari/gp.

Did you manage to compute \Delta^{129} \mid T_{17}  \pmod{3} ?

I do not think you can use mfhecke for that.

Cheers,
Bill.